Mathematical Proceedings of the Cambridge Philosophical Society · 1942 · 44 citations · 1 references
Natural SciencesMathematicsPhysicsCondensed Matter PhysicsCrystal StructureSolid State PhysicsBravais LatticesCrystal LatticeCrystal SystemsDeformation MechanismsElasticity TheoryLattice StructuresCrystal ElasticityCrystal Lattice TheoryCrystal Structure StabilityElastic ConstantsHexagonal Crystal LatticesHexagonal LatticesLattice StabilityStructural Instability
The theory of lattice deformations is presented in a new form, using the tensor calculus. The case of central forces is worked out in detail, and the results are applied to some simple hexagonal lattices. It is shown that the Bravais hexagonal lattice is unstable but the close-packed hexagonal lattice stable. The elastic constants of this lattice are calculated.
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